Methods and devices for estimating residual torque between the braked and braking elements of a vehicle

ABSTRACT

Methods and devices for estimating a residual torque between the braked (e.g., brake disk or drum) and braking elements (e.g., support plate or friction block) of a vehicle based on acquired and reference temperatures, where the reference temperature can be calculated using an N-dimensional calculation model with an N-dimensional vector of input variables, and where said N-dimensional calculation model can be an analytical or experimental characterization of the thermal behavior of the brake.

INCORPORATION BY REFERENCE TO ANY PRIORITY APPLICATIONS

Any and all applications for which a foreign or domestic priority claim is identified in the Application Data Sheet as filed with the present application are hereby incorporated by reference under 37 CFR 1.57.

DESCRIPTION

The application relates to devices and methods for detecting residual braking torque, e.g., in a vehicle.

SUMMARY

Residual braking torque is the braking torque, often having relatively small values, in a vehicle due to the unintended interaction between the brake pad and the disc while the vehicle is not actually braking.

This condition can be caused by abnormal operation of the brake caliper to maintain a residual contact between the disc and the pad after braking.

The persistence of this contact condition, although typically small, can maintain a nearly constant residual braking torque that has a considerable effect on fuel consumption and brake pad wear over the long term.

EU6 715/2007/EC standards on CO₂ emissions establish significantly more stringent limits on emissions, forcing vehicle manufacturers to seek innovative solutions to reduce them.

Embodiments described herein are configured to limit, measure, estimate, and/or prevent residual braking torque, e.g., to reduce fuel consumption, and thus, the resulting emissions of the vehicle.

The present application describes devices and methods that can estimate residual braking torque in a vehicle due to undesirable interactions between the brake pad and the disc (or drum), e.g., for each brake pad.

Disclosed devices and methods can enable real-time estimates of residual braking torque.

Disclosed devices and methods enable estimates of residual braking torque that can detect the minimum clearance between the brake pads and the disc, to help reduce brake delays.

Disclosed devices and methods can estimate residual braking torque in a manner compatible with on-board installations and applications.

According to additional disclosed embodiments, devices and methods can estimate residual braking torque in a manner compatible with on-board installations and applications, e.g., connecting a means of connection and a means of recording to a remotely controlled system.

According to additional embodiments, disclosed devices and methods use a method to estimate the residual torque between the braking (e.g., brake pad including friction material and/or support plate) and braked elements (e.g., brake disc or drum) of a vehicle.

According to certain aspects, the method can be implemented in whole or in part by one or more computing devices (e.g., an electronic control unit of a vehicle comprising one or more computer hardware processors). The method can include. acquiring the temperature value of said braking element. The method can further include determining whether this brake is activated when the temperature value is acquired. The method can further include accepting the acquired temperature value if said brake is not activated at said acquisition time. If the acquired temperature value is accepted, the method can include automatically calculating a reference temperature using input from an N-dimensional calculation model with an N-dimensional vector of input variables. The N-dimensional vector of variables can include at least the acquired temperature of said braking element. The N-dimensional calculation model can be an analytical or experimental characterization of the thermal behavior of the brake. The method can include estimating residual torque by comparing the accepted acquired temperature to the calculated reference temperature.

Depending on the embodiment, the N-dimensional vector of variables can include at a speed of the vehicle, at least an ambient temperature, at least a time delay between the instant of temperature acquisition and the last instant in which the brake was activated, or any combination

The braking element can include a braking disc or drum and said braking element can includes a wearable block of friction material and a back support plate for the friction material block. The temperature of the braking element can be acquired by at least one temperature sensor configured and positioned to detect the temperature of the back support plate.

The method can include using a temporal acquisition logic to acquire the temperature of the braking element based on a sampling frequency for at least one preset time interval. According to further embodiments, the method can include using a temporal acquisition logic to acquire the temperature of the braking element based on continuous sampling for at least one preset time interval starting from an acquisition instant determined by an event.

Depending on the embodiment, at least one variable chosen from vehicle speed, temperature of the braking element, temporal variation of the temperature of the braking element, or brake pedal status can used to determine whether said brake is activated at the instant of temperature value acquisition.

According to certain embodiments, the residual torque can be estimated with the N-dimensional calculation model and, in addition, with an acquired change in brake temperature over time. According to addition aspects, a device or system for estimating the residual braking torque of a vehicle can include a braked element that includes a braking disc or drum. The device can further

Include a braking element that includes a block of friction material and a back support plate for said friction material block. The device can further include at least one temperature sensor configured and positioned to detect the temperature of said back support plate. The device can further include an electronic control unit (e.g., a computing device comprising one or more computer hardware processors) connected to said temperature sensor, with said electronic control unit implementing an N-dimensional calculation model that represents an analytical or experimental characterization of the brake's thermal behavior. The electronic control unit (ECU) being programmed (e.g., with software or firmware stored in a memory of the electronic control unit) to acquire the temperature value of said back support plate from said temperature sensor. The ECU can be programmed to determine whether this brake is activated when the temperature value is acquired. The ECU can be programmed to accept the temperature value if said brake is not activated at said acquisition time. The ECU can be programmed, if the temperature value is accepted, to automatically calculate a temperature reference value by providing an N-dimensional vector of variables. The N-dimensional vector of variables can include at least the acquired temperature of said back support plate, as input to said N-dimensional calculation model. The ECU can be programmed to estimate residual torque by comparing the accepted acquired temperature to the calculated reference temperature.

The temperature sensor can be a contact temperature sensor integrated into said back support plate. In some embodiments, the temperature sensor can be a non-contact temperature sensor.

The temperature sensor can be configured and positioned to detect the surface or internal temperature of the support plate.

BRIEF DESCRIPTION OF THE DRAWINGS

Various embodiments are represented in the drawings included in attachment hereto for illustrative purposes, and the scope of this illustration is not in any way to be interpreted as limiting.

Various characteristics of the different embodiments being disclosed may be combined to create additional embodiments, all of which are considered part of this illustration.

FIG. 1 shows a schematic diagram for a corner of a vehicle equipped with the components for estimating residual torque;

FIG. 2A shows a plot of a time-based data acquisition strategy;

FIG. 2B shows a plot of a data acquisition strategy based on an activation event;

FIGS. 3A, 3B, and 3C illustrate the first configuration of an embodiment of a residual torque estimation method that can be performed by embodiments disclosed herein;

FIGS. 4A, 4B, and 4C illustrate a second configuration of an embodiment of a residual torque estimation method that can be performed by embodiments disclosed herein;

FIGS. 5A and 5B illustrate a third configuration of an embodiment of a residual torque estimation method that can be performed by embodiments disclosed herein;

FIGS. 6A and 6B illustrate a fourth configuration of an embodiment of a residual torque estimation method that can be performed by embodiments disclosed herein;

FIG. 7 a plot showing a comparative example for the estimation of residual torque.

DETAILED DESCRIPTION OF CERTAIN EMBODIMENTS

The following detailed description makes reference to the attached drawings, which form part of this description. In the drawings, similar reference numbers typically identify similar components, unless otherwise dictated by the context. The sequence and forms of execution described in the detailed description and drawings are not intended to be limiting. While in some drawings the components for only one corner of the vehicle are illustrated, the characteristics of which should be understood as being applicable to all corners. Other embodiments may be used, and other changes may be made without deviating from the spirit or scope of the subject-matter presented herein. The aspects of this illustration, as described generally herein and illustrated in the figures, may be arranged, replaced, combined, separated and designed in a wide variety of different configurations, all of which are explicitly contemplated and presented in this illustration.

According to certain embodiments, as schematically illustrated in FIG. 1 , a vehicle corner 1 (e.g., a portion of a vehicle including one of the wheels of the vehicle and the corresponding brake) comprises a system equipped with brake disc 10, friction material block back support plate 40, optional rear layer 30 between the friction material block 20 and back support plate 40, and temperature sensor 100, configured and positioned to acquire the temperature of back support plate 40.

Temperature sensor 100 can comprise a contact temperature sensor integrated into back support plate 40, or a non-contact temperature sensor. Additionally, temperature sensor 100 may be configured and positioned to detect the surface temperature of back support plate 40 or the average temperature of back support plate 40. For example, temperature sensor 100 may be positioned on the back support plate 40 surface facing friction material block 20. Temperature sensor 100 may be positioned on back support plate 40 and positioned flush with the back support plate 40 surface facing friction material block 20. If the surface temperature of back support plate 40 is to be detected, however, then this surface may be a back support plate 40 surface facing towards or away from the block of friction material 20.

Temperature sensor 100 may comprise a separate component or may be silk-screened, and, e.g., printed directly onto the metal back support plate; different arrangements can be made by combining different types of sensors; multiple temperature sensors may be used for distributed temperature monitoring.

The braking element may comprise a brake pad that coordinates with a braking element represented by disc 10, as illustrated by way of example in FIG. 1 , or another type of braking element such as a clamping jaw that coordinates with a drum.

The device for estimating residual torque can include electronic control unit (ECU) 200, which is connected to temperature sensor 100.

The method for estimating the residual torque of a vehicle braking element according to this embodiment provides for temperature sensors 100 to acquire the temperature detected on back support plate 40, generate the temperature signals, and transmit the temperature signals to electronic control unit (ECU) 200.

The electronic control unit (ECU) 200 can also be connected to and receives input signals from a number of auxiliary sensors on board the vehicle. In the illustrated embodiment, the auxiliary sensors include one or more sensors chosen from vehicle speed sensor ambient temperature sensor 51, and brake pedal activation sensor 52.

Vehicle speed detection and the recording of ambient temperature, the temperature for the corner of the vehicle where the braking device is operating, can refine the algorithm's performance and resolution.

In addition, other sensors may be incorporated into the brake pad and connected to electronic control unit (ECU) 200.

The sensors embedded in the brake pad may include one or more sensors chosen between shear strain sensor 53 and pressure force sensor 54.

According to the illustrated embodiment, the ECU 200 executes a calculation algorithm 300. For example, the calculation algorithm 300 can execute to cause the ECU 200 to perform operations to implement or oversee the data collection, control and output of electronic control unit (ECU) 200, e.g., in calculating or estimating residual torque. For example, the ECU 200 can comprise a computing system having one or more computer hardware processors (e.g., central processing units [CPUs]) and memory storing instructions (e.g., software or firmware) which, when executed by the ECU 200 implement the calculation algorithm 300.

According to certain embodiments, one or more of the signals for the variables detected by the auxiliary sensors are used to accept the temperature value acquired by temperature sensor 100 and are also configured, together with the acquired and accepted temperature value, into an N-dimensional array input to an N-dimensional model of the calculation algorithm 300.

The N-dimensional model can generate a reference temperature. The ECU 200 or other appropriate component can estimate residual torque by comparing the acquired and accepted temperature to the calculated reference temperature.

The N-dimensional calculation model can comprise an analytical or experimental characterization of the thermal behavior of the brake.

For example, the N-dimensional calculation model can be represented by the brake's thermal energy storage equation, where the thermal output energy, which equals the thermal energy lost by radiation, conduction, and convection, is equal to the incoming thermal energy generated by the friction of contact between the braking and braked elements of the brake.

The reference temperature, therefore, can be calculated by feeding the equation with the N-dimensional input array, which can also include a residual pressure or residual brake-through-torque value between the braking and braked elements, which can be assumed to have generated the reference temperature.

To estimate the residual torque with multiple identification levels, the calculation may be repeated with different residual pressure values or residual brake-through-torque values, which will correspond to different reference temperature values.

FIG. 7 , for example, shows the trend over time for the acquired temperature T, and various values calculated for reference temperature T_(rd1), T_(rd2), T_(rd3), and T_(rdn).

Through a calibration curve, for example, each T_(rd1), T_(rd2), T_(rd3), and T_(rdn) is associated with a corresponding residual torque value rd1, rd2, rd3, and rdn.

The comparison between the acquired temperature T and the calculated reference temperature values T_(rd1), T_(rd2), T_(rd3), and T_(rdn) can be used to estimate the residual torque value. For example, in the example shown in FIG. 7 the comparison between the acquired temperature T and the calculated reference temperature values T_(rd1), T_(rd2), T_(rd3), and T_(rdn) can be used to estimate the residual torque value between rd2 and rd3. For example, as the acquired temperature stabilizes in a temperature range corresponding to reference temperature values between T_(rd2) and T_(rd3), a corresponding residual torque between rd2 and rd3 can be determined from the calibration curve.

According to certain embodiments, each corner of the vehicle may be equipped with one or two brake pads, with or without the sensors described above.

According to certain embodiments, the residual torque calculation may be estimated by a single electronic control unit (ECU) for supervision and control, or by individual electronic control units (ECU) dedicated to each corner of the vehicle.

According to certain embodiments, the residual torque calculation may be estimated in real time.

According to certain embodiments, the acquisition and control algorithms may be independent of vehicle type and/or braking pad and/or driving style, thanks to a self-assessment of the calibration of the signal threshold: therefore, according to certain embodiment, no tuning operations are necessary for the different applications.

Depending on the embodiment, the data capture may be based on two different strategies: a time-based strategy, or an event-based strategy.

According to certain embodiments, the residual torque estimate, e.g., the technique used to estimate the residual torque, is independent of the data acquisition strategy.

FIG. 2A shows a time-based data acquisition strategy. For example, the time-based acquisition of the braking element temperature can be based on a sampling frequency established over at least one time interval. The data acquisition can be synchronous with preset and constant acquisition periods, e.g., typically from 20 to 60 seconds, and preferably 30 seconds, during the entire operation of the vehicle. For example, the ECU 200 may execute the algorithm 300 to implement the time-based data acquisition strategy.

The acquisition can take place independently of brake pedal activation; activation of the pedal can be recorded.

FIG. 2B illustrates a data capture strategy based on a trigger event. For example, temporal acquisition of brake element temperature can be based on continuous sampling capture logic over at least one fixed time interval from the instant of acquisition determined by the triggering of a braking event. For example, the ECU 200 may execute the algorithm 300 to implement this data acquisition strategy.

Activating the brake pedal can trigger the acquisition of data within a subsequent time window, e.g., typically from 10 to 60 minutes, preferably 30 minutes.

The data capture within the time window can happen with preset and constant acquisition periods, e.g., typically from 20 to 60 seconds, preferably 30 seconds.

Any activation of the brake pedal within an already open time window can trigger a subsequent time window starting from the brake pedal activation event.

A first configuration of an embodiment of the residual torque estimation system and method according to certain embodiments is illustrated in FIGS. 3A, 3B and 3C.

FIG. 3A schematically illustrates an example of the system.

The system includes at least one temperature sensor 100, ambient temperature sensor 51, speed sensor 50, brake pedal activation sensor 52, and electronic control unit (ECU) 200, which can provide an estimate of residual torque 500 by processing the signals with algorithm 300. For example, the system of FIG. 3A can comprise the system of vehicle corner 1 shown in FIG. 1 .

FIG. 3B shows an example of a first logical flow of an example of the residual torque estimation method, e.g., implemented by the algorithm 300 executed on the ECU 200 of the systems of FIG. 1 or FIG. 3A.

The ambient temperature detection in the corner of the vehicle detected by ambient temperature sensor 51 can be used for seasonal calibration of the temperature detected by temperature sensor 100 of back support plate 40 of the brake pad. For example, ECU 200 can adjust or otherwise calibrate the temperature detected by the temperature sensor 100 using the ambient temperature detected by the ambient sensor 51 to calibrate for the ambient temperature.

According to the illustrated embodiment, an initial estimate of residual torque 500 is obtained through calculation section 310, which evaluates the first derivative of the detected temperature over time, and section 320, which processes it based on the braking status, thereby obtains substantially immediate or real-time information, especially for high levels of residual torque.

Calculation section 330 performs temperature selection under non-braking conditions based on the data received from temperature sensor 100, as corrected by ambient temperature sensor 51, from the data processed by calculation section 320, as shown above, from brake pedal activation sensor signal 52, and from the speed detected by vehicle speed sensor 50.

Calculation section 330 filters the temperature that is acquired and accepted in calculation section 340 by using low-pass filters to eliminate high-frequency peaks and components.

Calculation section 330 also generates a variable flag that enables reference temperature evaluation through calculation section 350, using N-dimensional model 351 powered by an N-dimensional vector of organized brake pad temperature data detected by sensor 100, ambient temperature detected by sensor 51, vehicle speed detected by sensor 50 and the time detected relative to the braking event detected by sensor 52.

N-dimensional model 351 may alternatively comprise an analytical model derived from an analytical description of the energy exchanged between the disc and the pad during braking, or an experimental model derived from a set of experimental data collected during a series of dynamic energy exchanges between disc and pad.

Calculation section 350 can calculate the reference temperature by feeding, for example, the equation representing the thermal equilibrium of the brake with the N-dimensional input array, which also includes a residual pressure or residual brake-through-torque value between the braking and braked elements, which are assumed to have generated the reference temperature.

Calculation section 360 receives and compares the selected temperature evaluation signals filtered by calculation section 340 and the reference temperature signal from calculation section 350 and produces and processes a signal for residual torque estimate 500.

This signal is then compared with the signal obtained from calculation section 320.

FIG. 3C shows a second example of a logical flow of an example of the residual torque estimation method, e.g., implemented by the algorithm 300 executed on the ECU 200 of the systems of FIG. 1 or FIG. 3A.

This second logical flow differs from the first, as described above and illustrated in FIG. 3B, due to the lack of activation of calculation sections 310 and 320. Rather, the signal for residual torque estimate 500 is simply the signal obtained from calculation section 360.

FIGS. 4A, 4B, and 4C show a second configuration of certain embodiments of a residual torque estimation system and method.

FIG. 4A schematically illustrates the system's architectural configuration.

The architecture includes at least one temperature sensor 100, ambient temperature sensor 51, brake pedal activation sensor 52, and electronic control unit (ECU) 200, which provides an estimate of residual torque 500 by processing signals through algorithm 300.

The architecture of the second configuration differs from the first configuration shown in FIG. 3A due to the lack of speed data acquisition from vehicle speed sensor 50. For example, the system of FIG. 4A can comprise the system of vehicle corner 1 shown in FIG. 1 , but without the vehicle speed sensor 50.

FIG. 4B shows an example of a first logical flow of a residual torque estimation method, e.g., implemented by the algorithm 300 executed on the ECU 200 of the systems of FIG. 1 or FIG. 4A.

The ambient temperature detection in the corner of the vehicle detected by ambient temperature sensor 51 can be used for seasonal calibration of the temperature detected by temperature sensor 100 of back support plate 40 of the brake pad. For example, ECU 200 can adjust or otherwise calibrate the temperature detected by the temperature sensor 100 using the ambient temperature detected by the ambient sensor 51 to calibrate for the ambient temperature.

According to the illustrated embodiment, an initial estimate of residual torque 500 is obtained through calculation section 310, which evaluates the first derivative of the detected temperature over time, and section 320, which processes it based on the braking status: this obtains immediate information, especially for high levels of residual torque.

Calculation section 330 performs temperature selection under non-braking conditions based on the data received from temperature sensor 100, as corrected by ambient temperature sensor 51, from the data processed by calculation section 320, as shown above, from brake pedal activation sensor signal 52.

Calculation section 330 filters the temperature that is acquired and accepted in calculation section 340 by using low-pass filters to eliminate high-frequency peaks and components.

Calculation section 330 also generates a variable flag that enables reference temperature evaluation through calculation section 350, using N-dimensional model 351 powered by an N-dimensional vector of organized brake pad temperature data detected by sensor 100, ambient temperature detected by sensor 51, and the time detected relative to the braking event detected by sensor 52.

Calculation section 360 receives and compares the selected temperature evaluation signals filtered by calculation section 340 and the reference temperature signal from calculation section 350 and produces and processes a signal for residual torque estimate 500.

This signal is then compared with the signal obtained from calculation section 320.

FIG. 4C shows a second example of a logical flow of an example of the residual torque estimation method based on a second configuration of the preferred embodiment, e.g., implemented by the algorithm 300 executed on the ECU 200 of the systems of FIG. 1 or FIG. 3A.

This second logical flow differs from the first, as described above and illustrated in FIG. 4B, due to the lack of activation of calculation sections 310 and 320. Rather, the signal for residual torque estimate 500 is simply the signal obtained from calculation section 360.

FIGS. 5A and 5B illustrate a third configuration of certain embodiments of a residual torque estimation system and method.

The third configuration differs from the first configuration shown in FIG. 3A due to the lack of brake pedal activation data acquisition from sensor 52. For example, the system of FIG. 5A can comprise the system of vehicle corner 1 shown in FIG. 1 , but without the pedal activation sensor 52.

FIG. 5B shows an example of a first logical flow of a residual torque estimation method, e.g., implemented by the algorithm 300 executed on the ECU 200 of the systems of FIG. 1 or FIG. 5A.

The ambient temperature detection in the corner of the vehicle detected by ambient temperature sensor 51 can be used for seasonal calibration of the temperature detected by temperature sensor 100 of back support plate 40 of the brake pad. For example, ECU 200 can adjust or otherwise calibrate the temperature detected by the temperature sensor 100 using the ambient temperature detected by the ambient sensor 51 to calibrate for the ambient temperature.

According to the illustrated embodiment, an initial estimate of residual torque 500 is obtained through calculation section 310, which evaluates the first derivative of the detected temperature over time, and section 320, which processes it based on the braking status: this obtains immediate information, especially for high levels of residual torque.

One variant of the embodiment does not include calculation section 310.

Calculation section 330 performs temperature selection under non-braking conditions based on the data received from temperature sensor 100, as corrected by ambient temperature sensor 51, from the data processed by calculation section 320, as shown above, from the signal from vehicle speed sensor 50.

Calculation section 330 filters the temperature that is acquired and accepted in calculation section 340 by using low-pass filters to eliminate high-frequency peaks and components.

Calculation section 330 also generates a variable flag that enables reference temperature evaluation through calculation section 350, using N-dimensional model 351 powered by an N-dimensional vector of organized brake pad temperature data detected by sensor 100, ambient temperature detected by sensor 51, and vehicle speed detected by sensor 50.

Calculation section 360 receives and compares the selected temperature evaluation signals filtered by calculation section 340 and the reference temperature signal from calculation section 350 and produces and processes a signal for residual torque estimate 500.

This signal is then compared with the signal obtained from calculation section 320.

FIGS. 6A and 6B illustrate a fourth configuration of a preferred embodiment of the residual torque estimation method.

FIG. 6A schematically illustrates the system's architectural configuration.

The architecture of the fourth configuration differs from the first configuration shown in FIG. 3A due to the lack of brake pedal activation data acquisition from sensor 52 and the speed data from vehicle speed sensor 50. For example, the system of FIG. 6A can comprise the system of vehicle corner 1 shown in FIG. 1 , but without the vehicle speed sensor 50 or pedal activation sensor 52.

FIG. 6B shows an example of a logical flow of a residual torque estimation method based on a fourth configuration of the preferred embodiment, e.g., implemented by the algorithm 300 executed on the ECU 200 of the systems of FIG. 1 or FIG. 6A.

The ambient temperature detection in the corner of the vehicle detected by ambient temperature sensor 51 can be used for seasonal calibration of the temperature detected by temperature sensor 100 of back support plate 40 of the brake pad. For example, ECU 200 can adjust or otherwise calibrate the temperature detected by the temperature sensor 100 using the ambient temperature detected by the ambient sensor 51 to calibrate for the ambient temperature.

According to the illustrated embodiment, an initial estimate of residual torque 500 is obtained through calculation section 310, which evaluates the first derivative of the detected temperature over time, and section 320, which processes it based on the braking status: this obtains immediate information, especially for high levels of residual torque.

One variant of the embodiment does not include calculation section 310.

Calculation section 330 performs temperature selection under non-braking conditions based on the data received from temperature sensor 100, as corrected by ambient temperature sensor 51, from the data processed by calculation section 320, as shown above.

Calculation section 330 filters the temperature that is acquired and accepted in calculation section 340 by using low-pass filters to eliminate high-frequency peaks and components.

Calculation section 330 also generates a variable flag that enables reference temperature evaluation through calculation section 350, using N-dimensional model 351 powered by an N-dimensional vector of organized brake pad temperature data detected by sensor 100, and ambient temperature detected by sensor 51.

Calculation section 360 receives and compares the selected temperature evaluation signals filtered by calculation section 340 and the reference temperature signal from calculation section 350 and produces and processes a signal for residual torque estimate 500.

This signal is then compared with the signal obtained from calculation section 320.

Other changes and variations to the method and the device for estimating the residual torque of a vehicle brake element are possible.

The disclosed methods and systems for estimating the residual torque of a vehicle brake element can be subject to changes and variants while still falling within the scope of the inventions described herein, including equivalents.

For example, any type of appropriate materials and systems may be used.

Although certain devices, systems, and processes have been disclosed in the context of certain example embodiments, it will be understood by those skilled in the art that the scope of this disclosure extends beyond the specifically disclosed embodiments to other alternative embodiments and/or uses of the embodiments and certain modifications and equivalents thereof. Use with any structure is expressly within the scope of this present disclosure. Various features and aspects of the disclosed embodiments can be combined with or substituted for one another in order to form varying modes of the assembly. The scope of this disclosure should not be limited by the particular disclosed embodiments described herein.

Certain features that are described in this disclosure in the context of separate implementations can also be implemented in combination in a single implementation. Conversely, various features that are described in the context of a single implementation can also be implemented in multiple implementations separately or in any suitable subcombination. Moreover, although features may be described above as acting in certain combinations, one or more features from a claimed combination can, in some cases, be excised from the combination, and the combination may be claimed as any subcombination or variation of any subcombination.

Terms of orientation used herein, such as “top,” “bottom,” “proximal,” “distal,” “longitudinal,” “lateral,” and “end” are used in the context of the illustrated embodiment. However, the present disclosure should not be limited to the illustrated orientation. Indeed, other orientations are possible and are within the scope of this disclosure. Terms relating to circular shapes as used herein, such as diameter or radius, should be understood not to require perfect circular structures, but rather should be applied to any suitable structure with a cross-sectional region that can be measured from side-to-side. Terms relating to shapes generally, such as “circular” or “cylindrical” or “semi-circular” or “semi-cylindrical” or any related or similar terms, are not required to conform strictly to the mathematical definitions of circles or cylinders or other structures, but can encompass structures that are reasonably close approximations.

Conditional language, such as “can,” “could,” “might,” or “may,” unless specifically stated otherwise, or otherwise understood within the context as used, is generally intended to convey that certain embodiments include or do not include, certain features, elements, and/or steps. Thus, such conditional language is not generally intended to imply that features, elements, and/or steps are in any way required for one or more embodiments.

Conjunctive language, such as the phrase “at least one of X, Y, and Z,” unless specifically stated otherwise, is otherwise understood with the context as used in general to convey that an item, term, etc. may be either X, Y, or Z. Thus, such conjunctive language is not generally intended to imply that certain embodiments require the presence of at least one of X, at least one of Y, and at least one of Z.

The terms “approximately,” “about,” and “substantially” as used herein represent an amount close to the stated amount that still performs a desired function or achieves a desired result. For example, in some embodiments, as the context may dictate, the terms “approximately”, “about”, and “substantially” may refer to an amount that is within less than or equal to 10% of the stated amount. The term “generally” as used herein represents a value, amount, or characteristic that predominantly includes or tends toward a particular value, amount, or characteristic. As an example, in certain embodiments, as the context may dictate, the term “generally parallel” can refer to something that departs from exactly parallel by less than or equal to 20 degrees.

Some embodiments have been described in connection with the accompanying drawings. The figures are to scale, but such scale should not be limiting, since dimensions and proportions other than what are shown are contemplated and are within the scope of the disclosed present disclosure. Distances, angles, etc. are merely illustrative and do not necessarily bear an exact relationship to actual dimensions and layout of the devices illustrated. Components can be added, removed, and/or rearranged. Further, the disclosure herein of any particular feature, aspect, method, property, characteristic, quality, attribute, element, or the like in connection with various embodiments can be used in all other embodiments set forth herein. Additionally, it will be recognized that any methods described herein may be practiced using any device suitable for performing the recited steps.

Various illustrative embodiments of devices, systems, and methods have been disclosed. Although the devices, systems, and methods have been disclosed in the context of those embodiments, this disclosure extends beyond the specifically disclosed embodiments to other alternative embodiments and/or other uses of the embodiments, as well as to certain modifications and equivalents thereof. This disclosure expressly contemplates that various features and aspects of the disclosed embodiments can be combined with, or substituted for, one another. Accordingly, the scope of this disclosure should not be limited by the particular disclosed embodiments described above, but should be determined only by a fair reading of the claims that follow as well as their full scope of equivalents. 

1. (canceled)
 2. A method for estimating a residual torque in a vehicle brake, the method comprising: with a computing device comprising one or more processors: providing an N-dimensional vector of input variables to an N-dimensional model, the N-dimensional vector of input variables including at least a sensed temperature of a braking element of a vehicle brake, the sensed temperature acquired during a time in which the vehicle brake was not activated; calculating an output of the N-dimensional model based on the N-dimensional vector of input variables, the N-dimensional model comprising a characterization of vehicle brake thermal behavior; and estimating residual torque based on at least the output of the N-dimensional model.
 3. The method of claim 2 wherein the estimating comprises comparing the sensed temperature to the output of the N-dimensional model.
 4. The method of claim 2 wherein the N-dimensional vector of input variables further comprises at least a vehicle speed.
 5. The method of claim 2 wherein the N-dimensional vector of input variables further comprises at least an ambient temperature.
 6. The method of claim 2 wherein the N-dimensional vector of input variables further comprises at least a time delay between a time of acquisition of the sensed temperature and a last time in which the vehicle brake was activated.
 7. The method of claim 2 wherein the braking element comprises a braking disc, a block of friction material, a support plate supporting the block of friction material, and at least one temperature sensor, wherein the sensed temperature is acquired by the at least one temperature sensor.
 8. The method of claim 2 wherein the estimating of the residual torque is additionally based on a change in brake temperature over time.
 9. The method of claim 2 wherein the N-dimensional model represents an analytical or experimental characterization of a thermal behavior of the vehicle brake.
 10. The method of claim 2 further comprising, using at least one of vehicle speed, temperature of the braking element, temporal variation of the temperature of the braking element, or brake pedal status, determining that the vehicle brake was not activated at the time the sensed temperature was acquired.
 11. The method of claim 2 wherein N is at least
 3. 12. A system for estimating residual braking torque in a vehicle brake, the system comprising: an input configured to receive measurements corresponding to sensed temperature of a braking element of a vehicle brake; a computing device programmed to: provide an N-dimensional vector of input variables to an N-dimensional model, the N-dimensional vector of input variables including one or more first measurements of the received measurements, the one or more first measurements acquired during a time in which the vehicle brake was not activated; calculate an output of the N-dimensional model based on the N-dimensional vector of input variables, the N-dimensional model comprising a characterization of vehicle brake thermal behavior; and estimate a residual torque based on at least the output of the N-dimensional model.
 13. The system of claim 12 wherein the computing device is further programmed to, based on at least one of vehicle speed, temperature of the braking element, temporal variation of the temperature of the braking element, or brake pedal status, determine that the vehicle brake was not activated at the time the one or more first measurements were acquired.
 14. The system of claim 12 wherein the estimation of the residual torque is based on a comparison of the one or more first measurements to the output of the N-dimensional model.
 15. The system of claim 12 wherein the N-dimensional model represents an analytical or experimental characterization of a thermal behavior of the vehicle brake.
 16. The system of claim 12 wherein the measurements are taken by a temperature sensor integrated into the braking element.
 17. The system of claim 12 wherein the computing device is programmed to estimate the residual torque by comparing the one or more first measurements to the output of the N-dimensional model.
 18. The system of claim 12 wherein the N-dimensional vector of input variables further comprises at least a speed of the vehicle brake.
 19. The system of claim 12 wherein the N-dimensional vector of input variables further comprises at least an ambient temperature.
 20. The system of claim 12 wherein N is at least
 3. 